54608875776 has 432 divisors, whose sum is σ = 194991713280. Its totient is φ = 14312816640.

The previous prime is 54608875771. The next prime is 54608875777. The reversal of 54608875776 is 67757880645.

54608875776 is a `hidden beast` number, since 54 + 6 + 0 + 8 + 8 + 7 + 577 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (54608875771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 37948465 + ... + 37949903.

Almost surely, 2^54608875776 is an apocalyptic number.

54608875776 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54608875776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97495856640).

54608875776 is an abundant number, since it is smaller than the sum of its proper divisors (140382837504).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

54608875776 is a wasteful number, since it uses less digits than its factorization.

54608875776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1662 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 79027200, while the sum is 63.

The spelling of 54608875776 in words is "fifty-four billion, six hundred eight million, eight hundred seventy-five thousand, seven hundred seventy-six".